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miv72 [106K]
3 years ago
9

a straight angle is split into two smaller angles as shown the smaller angles measurement is 1/6 that of a straight angle what i

s the value of the angle a
Mathematics
1 answer:
qaws [65]3 years ago
7 0
Assuming that angle a is the smaller angle, angle A measures 30 degrees
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Find the missing lengths:<br> LO=5 and OK=4, find OH and KH.
hodyreva [135]

Answer:

The length of KH is 6 units and OH is 6.3 units.

Step-by-step explanation:

Given the figure with lengths LO=5 and OK=4. we have to find the length of  OH and KH.

In ΔLOH

By Pythagoras theorem

LH^2=LO^2+OH^2\\\\LH^2=5^2+OH^2 → (1)

In ΔKOH,

KH^2=OH^2+OK^2\\\\KH^2=OH^2+4^2  → (2)

In ΔKHL,

KL^2=LH^2+KH^2

Using eq (1) and (2), we get

KL^2=5^2+OH^2+OH^2+4^2

9^2=25+2OH^2+16

⇒ 2OH^2=81-25-16=40

⇒ OH=\sqrt{20}=6.324\sim6.3units.

Put the above value in eq 2, we get

KH^2=20+4^2=36

⇒ KH=6 units.

8 0
4 years ago
Read 2 more answers
What is the value of x?
Romashka-Z-Leto [24]

Answer:

x=5√2

Step-by-step explanation:

This is a right isosceles triangle, so the base and leg are the same.  Both are x.

Pythagorean Theorem:

x²+x²=10²

2x²=100

x²=50

x=√50

x=5√2

7 0
3 years ago
Three bananas cost $0.99. At this rate, how much do 5 bananas cost?
deff fn [24]

Answer:

$4.95

Step-by-step explanation:

8 0
3 years ago
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According to the U.S. Geological Survey, there are over 300,000,000 cubic miles of water on the planet. How this number represen
Damm [24]

Answer:

3 x 10^8

Step-by-step explanation:

300,000,000 in scientific notation is 3 x 10^8 and because it’s 8 zeros

3 0
3 years ago
N a parking lot of 240 red and blue cars, the ratio of red cars to blue cars is 3 : 5. How many red cars are in the parking lot?
allsm [11]

So lets add 3+5 to get 8.

So we know that 240/8 is 30

now multiply 3 and 5 by 30

so if 3 represents red you should get 90 cars

Check:

   3=90

 +5=150

----------------

   8=240

so the final answer is 90 red cars

hope this helps:)

6 0
4 years ago
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